When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are v 1

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When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are v 1 ​ and v 2 ​ respectively. The ratio v 1 ​ : v 2 ​ is

TestHub · Accepted Answer

⇒ ⇒ ∴ ∴ ​ K ⋅ E m a x ​ = h v − ϕ 0 ​ Given, E 1 ​ = 2 ϕ 0 ​ and E 2 ​ = 3 ϕ 0 ​ K ⋅ E 1 ​ = 2 ϕ 0 ​ − ϕ 0 ​ = ϕ 0 ​ K ⋅ E 2 ​ = 3 ϕ 0 ​ − ϕ 0 ​ = 2 ϕ 0 ​ but, K ⋅ E 1 ​ = 2 1 ​ mv 1 2 ​ and K ⋅ E 2 ​ = 2 1 ​ mv 2 2 ​ K ⋅ E 2 ​ K ⋅ E 1 ​ ​ = v 2 2 ​ v 1 2 ​ ​ = 2 1 ​ v 2 ​ v 1 ​ ​ = 2 ​ 1 ​ ​

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